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238080240 = 243251753367
BaseRepresentation
bin11100011000011…
…01000011110000
3121120222201200200
432030031003300
5441422031430
635342515200
75620435326
oct1614150360
9546881620
10238080240
11112432232
1267895b00
133a42b0a8
1423895d16
1515d7c460
hexe30d0f0

238080240 has 240 divisors, whose sum is σ = 864908928. Its totient is φ = 58466304.

The previous prime is 238080221. The next prime is 238080263. The reversal of 238080240 is 42080832.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 648537 + ... + 648903.

Almost surely, 2238080240 is an apocalyptic number.

238080240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238080240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432454464).

238080240 is an abundant number, since it is smaller than the sum of its proper divisors (626828688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

238080240 is a wasteful number, since it uses less digits than its factorization.

238080240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 238080240 is about 15429.8489947245. The cubic root of 238080240 is about 619.7850798606.

The spelling of 238080240 in words is "two hundred thirty-eight million, eighty thousand, two hundred forty".